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                BJOI2015 糖果                </h1>
                <p>时间限制：2s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><div>Alice 正在教她的弟弟 Bob 学数学。&nbsp;</div>
<div>每天，Alice 画一个N行M 列的表格，要求 Bob在格子里填数。&nbsp;</div>
<div>Bob已经学会了自然数1到K的写法。因此他在每个格子里填1 ~ K之间的整数。&nbsp;</div>
<div>Alice 告诉 Bob，如果 Bob 填写完表格的 N*M 个数以后，每行的数从第 1 列到第 M</div>
<div>列单调不减，并且任意两行至少有一列的数不同，而且以前 Bob 没有填写过相同的表格，</div>
<div>那么Alice 就给Bob吃一颗糖果。&nbsp;</div>
<div>Bob想知道，如果每天填写一遍表格，最多能吃到多少颗糖果。&nbsp;</div>
<div>答案模P输出。&nbsp;</div>
<p></p></p><hr/><h3>输入格式</h3><p><div>第一行，四个整数依次是N, M, K, P。&nbsp;</div>
<p></p></p><hr/><h3>输出格式</h3><p><div>输出一行，一个整数，表示答案模P 后的结果。&nbsp;</div>
<p></p></p><hr/><h3>样例输入</h3><pre>【样例输入1】 
1 3 3 10 
 【样例输入2】 
2 2 2 10 </pre><hr/><h3>样例输出</h3><pre>【样例输出1】 
0 
【样例输出2】 
6
</pre><hr/><h3>提示</h3><p><div>【样例解释】&nbsp;</div>
<div>样例1。表格只有一行。每个格子可以填写1 ~ 3。有10种填写方法，依次为1 1 1，</div>
<div>1 1 2，1 1 3，1 2 2，1 2 3，1 3 3，2 2 2，2 2 3，2 3 3，3 3 3。 &nbsp;&nbsp;</div>
<div>样例2。表格有两行。有6 种填写方法，依次为 &nbsp;1 1/1 2, 1 1/2 2, 1 2/1 1, 1 2/2&nbsp;</div>
<div>2, 2 2/1 1, 2 2/1 2。&nbsp;</div>
<div>&nbsp;</div>
<div>【数据规模与约定】&nbsp;</div>
<div>100% 的数据中，1 &le; N, M &le; 10^5，1 &le; P, K &le; 2*10^9.&nbsp;</div>
<p></p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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